A Consider An Fm Signal If Carrier Frequency C Which

(a) Consider an FM signal if carrier frequency ƒc, which is produced by a modulating signal m (t). Assume that ƒc is large enough to justify treating this FM signal as a narrowband signal. Find an approximate expression for its Hilbert transform.

(b) For the special case of a sinusoidal modulating wave m (t) = Am cos (2πƒmt), find the exact expression for the Hilbert transform of the resulting Fm signal. For this case, what is the error in the approximation used in part (a)?

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